13102101303200 has 288 divisors, whose sum is σ = 41078379315456. Its totient is φ = 3966311669760.

The previous prime is 13102101303199. The next prime is 13102101303241. The reversal of 13102101303200 is 230310120131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2238077 + ... + 5586876.

It is an arithmetic number, because the mean of its divisors is an integer number (142633261512).

Almost surely, 2^{13102101303200} is an apocalyptic number.

13102101303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102101303200 is an abundant number, since it is smaller than the sum of its proper divisors (27976278012256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13102101303200 is a wasteful number, since it uses less digits than its factorization.

13102101303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825016 (or 7825003 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13102101303200 its reverse (230310120131), we get a palindrome (13332411423331).

The spelling of 13102101303200 in words is "thirteen trillion, one hundred two billion, one hundred one million, three hundred three thousand, two hundred".